Math Problem Statement

What is the equation of the line that passes through the point (-7, -8) and has a slope of 0?

Solution

To find the equation of the line that passes through the point (7,8)(-7, -8) and has a slope of 0:

  1. A line with a slope of 0 is horizontal. Therefore, the y-value is constant for all points on the line.

  2. The equation of a horizontal line passing through a point (x,y)(x, y) is y=cy = c, where cc is the constant y-value.

  3. For the point (7,8)(-7, -8), the y-coordinate is 8-8. Hence, the equation of the line is: y=8y = -8

Would you like further details or a graphical explanation?

Here are 5 related questions to extend your understanding:

  1. What is the equation of a vertical line passing through a specific point?
  2. How do you determine the slope of a line from two given points?
  3. How can you find the equation of a line with a nonzero slope?
  4. What are the general forms of linear equations, and when is each used?
  5. How do horizontal and vertical lines relate to the concept of slope?

Tip: A horizontal line always has a slope of 0, and its equation is determined solely by the y-coordinate.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Linear Equations
Slopes of Lines

Formulas

Equation of a line: y = mx + b
Horizontal line: y = c

Theorems

Properties of horizontal lines

Suitable Grade Level

Grades 6-8